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Ekeland's variational principle in vecter optimization

Ekeland's variational principle in vecter optimization
新潟大学 平成20年3月24日 新大院博（理）第292号 新大院博（理 ...
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Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.

J Math Anal Appl, 2012
Kunisch K, Wang L.
europepmc   +1 more source

Existence of normalized solutions to Kirchhoff-Boussinesq equations in the subcritical and supercritical regime

Electronic Journal of Differential Equations
In this article we study the existence of normalized solutions to the Kirchhoff-Boussinesq equation under the mass constraint $\|u\|_{2}=c$. In the $L^{2}$-subcritical regime, we apply Ekeland's variational principle and concentration compactness method ...
Chunling Tao, Lintao Liu, Kaimin Teng
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A General Multiplier Rule for Infinite Dimensional Optimization Problems with Constraints [PDF]

, 1988
Frankowska, H.
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Critical point theory and nonlinear differential equations [PDF]

, 1985
Mawhin, Jean
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A strong vectorial Ekeland's variational principle

, 2007
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Exponential Dichotomies by Ekeland’s Variational Principle

Journal of Dynamics and Differential Equations, 2020
Exponential dichotomy, which is a type of hyperbolicity in the context of linear time-varying systems, is the central focus of this paper. First, two well known characterizations of the exponential dichotomy in \(\mathbb{R}^+\) are presented: \begin{itemize} \item [(i)] If the system \(\dot{v}=A(t)v+f(t)\) in \(\mathbb{R}^N\), admits a bounded solution
Juan Campos, Massimo Tarallo
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Ekeland Variational Principles in Vector Equilibrium Problems

SIAM Journal on Optimization, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gutiérrez, C., Kassay, G., Novo, V., Ródenas-Pedregosa, J. L.   +3 more
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Ekeland Variational Principle

2014
In this chapter we present existence results for minimal points of subsets of the Cartesian product of a complete metric space and a topological vector space with respect to order relations determined by generalized set-valued metrics; such results are useful for deriving EVP type results for vector and scalar functions.
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu   +2 more
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Vector Ekeland Variational Principle

2000
In this paper the well-known Ekeland variational principle is generalized to the case where vector-valued functions are involved. Namely, vector Ekeland variational principle is studied. In particular, the epsilon vector minimum point of a vector optimization problem is investigated via vector Ekeland variational principle.
Shen Jie Li, Xiao Qi Yang, Guang-ya Chen
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